Weak partial $b$-metric space and Nadler's theorem

Tanzeela Kanwal; Azhar Hussain

Weak partial $b$-metric space and Nadler's theorem

General Topology 2018-11-20 v1

Authors: Tanzeela Kanwal , Azhar Hussain

Abstract

We study the notions of weak partial $b$ -metric space and weak partial Hausdorff $b$ -metric space. Moreover, we intend to generalize Nadler's theorem in weak partial $b$ -metric space by using weak partial Hausdorff $b$ -metric spaces. A non-trivial example to show the validity of our result is given.

Keywords

weak convergence

Cite

@article{arxiv.1811.07313,
  title  = {Weak partial $b$-metric space and Nadler's theorem},
  author = {Tanzeela Kanwal and Azhar Hussain},
  journal= {arXiv preprint arXiv:1811.07313},
  year   = {2018}
}

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